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Nuclear Level Calculation

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Analysis of the Electric Dipole Moment in the R-parity Violating Supersymmetric Standard Model

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In this chapter, we will review the nuclear many-body physics needed in the study of the electric dipole moment (EDM). We will first see the ab initio calculations of the EDMs of light nuclei (deuteron and He). We will then review in detail the screening of the P, CP-odd nuclear EDM in atomic system pointed by Schiff and the formula of the nuclear Schiff moment as important P, CP-odd mechanism contributing to the atomic EDM. We will next present the derivation of the leading P, CP-odd nuclear moments (the nuclear EDM, Schiff moment and magnetic quadrupole moment) for heavy nuclei within a simple model. After this simple calculation, a sophisticated mean-field approach is reviewed, and its results for the evaluation of the nuclear Schiff moments of heavy nuclei (Xe, Hg, Rn and Ra) are presented. We finally summarize the nuclear level P, CP-odd moments for all nuclei relevant to the discussions in this chapter. Note that the electric charge \(e\) is defined as \(e=|e|>0\) in this chapter, in contrast to the previous chapters.

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References

  1. I.B. Khriplovich, Phys. Lett. B 444, 98 (1998)

    Google Scholar 

  2. F.J.M. Farley et al., Phys. Rev. Lett. 93, 052001 (2004)

    Google Scholar 

  3. Y.K. Semertzidis et al., AIP Conf. Proc. 698, 200 (2004)

    Google Scholar 

  4. Y.F. Orlov, W.M. Morse, Y.K. Semertzidis, Phys. Rev. Lett. 96, 214802 (2006)

    Google Scholar 

  5. L.I. Schiff, Phys. Rev. 132, 2194 (1963)

    Google Scholar 

  6. C.-P. Liu, R.G.E. Timmermans, Phys. Rev. C 70, 055501 (2004)

    Google Scholar 

  7. I.B. Khriplovich, S.K. Lamoreaux, CP Vioaltion Without Strangeness (Springer, Berlin, 1997)

    Book  Google Scholar 

  8. J.S.M. Ginges, V.V. Flambaum, Phys. Rept. 397, 63 (2004)

    Google Scholar 

  9. I. Stetcu, C.-P. Liu, J.L. Friar, A.C. Hayes, P. Navratil, Phys. Lett. B 665, 168 (2008)

    Google Scholar 

  10. I.B. Khriplovich, R.A. Korkin, Nucl. Phys. A 665, 365 (2000)

    Google Scholar 

  11. R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995)

    Google Scholar 

  12. V.G.J. Stoks, R.A.M. Klomp, C.P.F. Terheggen, J.J. de Swart, Phys. Rev. C 49, 2950 (1994)

    Google Scholar 

  13. P. Navratil, J.P. Vary, B.R. Barrett, Phys. Rev. Lett. 84, 5728 (2000)

    Google Scholar 

  14. P. Navratil, J.P. Vary, B.R. Barrett, Phys. Rev. C 62, 054311 (2000)

    Google Scholar 

  15. R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, 1483 (1996)

    Google Scholar 

  16. P. Navratil, Few Body Syst. 41, 117 (2007)

    Google Scholar 

  17. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001(R) (2003)

    Google Scholar 

  18. U. van Kolck, Phys. Rev. C 49, 2932 (1994)

    Google Scholar 

  19. E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.-G. Meissner, H. Witala, Phys. Rev. C 66, 064001 (2002)

    Google Scholar 

  20. V. Spevak, N. Auerbach, V.V. Flambaum, Phys. Rev. C 56, 1357 (1997)

    Google Scholar 

  21. O.P. Sushkov, V.V. Flambaum, I.B. Khriplovich, Zh. Eksp. Teor. Fiz. 87, 1521 (1984) [Sov. Phys. JETP 60, 873 (1984)]

    Google Scholar 

  22. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162 (1957)

    Google Scholar 

  23. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)

    Google Scholar 

  24. V.V. Flambaum, I.B. Khriplovich, O.P. Sushkov, Phys. Lett. B 162, 213 (1985)

    Google Scholar 

  25. V.V. Flambaum, I.B. Khriplovich and O.P. Sushkov. Nucl. Phys. A 449, 750 (1985)

    Google Scholar 

  26. V.F. Dmitriev, R.A. Senkov, N. Auerbach, Phys. Rev. C 71, 035501 (2005)

    Google Scholar 

  27. V.F. Dmitriev, R.A. Senfkov, Phys. Rev. Lett. 91, 212303 (2003)

    Google Scholar 

  28. J.H. de Jesus, J. Engel, Phys. Rev. C 72, 045503 (2005)

    Google Scholar 

  29. S. Ban, J. Dobaczewski, J. Engel, A. Shukla, Phys. Rev. C 82, 015501 (2010)

    Google Scholar 

  30. J. Engel, M. Bender, J. Dobaczewski, J.H. de Jesus, P. Olbratowski, Phys. Rev. C 68, 025501 (2003)

    Article  ADS  Google Scholar 

  31. J. Dobaczewski, J. Engel, Phys. Rev. Lett. 94, 232502 (2005)

    Article  ADS  Google Scholar 

  32. J. Dobaczewski, W. Satula, B. Carlsson, J. Engel, P. Olbratowski, P. Powalowski, M. Sadziak, N. Schunk, A. Staszczak, M. Stoitsov et al., Comput. Phys. Commun. 180, 2361 (2009)

    Article  ADS  Google Scholar 

  33. P.-G. Reinhard, D.J. Dean, W. Nazarewicz, J. Dobaczewski, J.A. Maruhn, M.R. Strayer, Phys. Rev. C 60, 014316 (1999)

    Article  ADS  Google Scholar 

  34. J. Bartel, P. Quentin, M. Brack, C. Guet, H.B. Hakansson, Nucl. Phys. A 386, 70 (1982)

    Article  ADS  Google Scholar 

  35. E. Chabanat, P. Bonche, P. Haensel, J. Meyer, R. Schaeffer, Nucl. Phys. A 635, 231 (1998)

    Article  ADS  Google Scholar 

  36. M. Beiner, H. Flocard, N. Van Giai, P. Quentin, Nucl. Phys. A 238, 29 (1975)

    Article  ADS  Google Scholar 

  37. N. Yoshinaga et al., Talk given at 4th International conference on "Fundamental Physics Using Atoms", Osaka University, August 2010 (URL: http://xqw.hep.okayama-u.ac.jp/kakenhi/index.php/fpua2010/fpua2010_top_e/)

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Authors and Affiliations

  1. Research Center for Nuclear Physics, Osaka University, Ibaraki, Japan

    N. Yamanaka

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  1. N. Yamanaka
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Correspondence to N. Yamanaka .

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Yamanaka, N. (2014). Nuclear Level Calculation. In: Analysis of the Electric Dipole Moment in the R-parity Violating Supersymmetric Standard Model. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54544-6_7

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